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Finding the Fourth Proportional to 29,578.56, 44,111.28 and 25,224

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Solution

The fourth proportional to 29,578.56, 44,111.28 and 25,224 is: 37,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,578.56 : 44,111.28 = 25,224 : x
  2. Step 2: Convert to fraction form
    29,578.56/44,111.28 = 25,224/x
  3. Step 3: Cross multiply
    29,578.56x = 44,111.28 × 25,224
  4. Step 4: Simplify right side
    29,578.56x = 1,112,662,926.72
  5. Step 5: Solve for x
    x = 1,112,662,926.72/29,578.56
  6. Step 6: Final answer
    x = 37,617.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.